71. If $$x + \frac{1}{x} = 2{\text{,}}$$ then the value of $$\left( {{x^2} + \frac{1}{{{x^2}}}} \right)\left( {{x^3} + \frac{1}{{{x^3}}}} \right)$$ is?
72. If the equation 2x2 - 7x + 12 = 0 has two roots $$\alpha$$ and $$\beta$$, then the value of $$\frac{\alpha }{\beta }{\text{ + }}\frac{\beta }{\alpha }\,{\text{is?}}$$
73. If $${x^3} + \frac{3}{x}$$ = $$4\left( {{a^3} + {b^3}} \right)$$ and $$3x + \frac{1}{{{x^3}}}$$ = $$4\left( {{a^3} - {b^3}} \right){\text{,}}$$ then a2 - b2 is equal to?
74. The graph of 2x + 1 = 0 and 3y - 9 = 0 intersect at the point?
75. The term to be added to 121a2 + 64b2 to make a perfect square is?
76. If $$a = 2 + \sqrt 3 {\text{,}}$$ then the value of $$\left( {{a^2} + \frac{1}{{{a^2}}}} \right) = \,?$$
77. For what value of k the expression $$p + \frac{1}{4} + \sqrt p + {k^2}$$ is perfect square?
78. If $$\frac{{b - c}}{a}$$ + $$\frac{{a + c}}{b}$$ + $$\frac{{a - b}}{c}$$ = 1 and a - b + c ≠ 0 then which one of the following relations is true ?
79. The reciprocal of $$x + \frac{1}{x}$$ is?
80. If a, b, c are positive and a + b + c = 1, then the least value of $$\frac{1}{a}$$ + $$\frac{1}{b}$$ + $$\frac{1}{c}$$ is?
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